Spectral moment formulae for $\mathrm{GL}(3)\times\mathrm{GL}(2)$ $L$-functions. I: The cuspidal case

DOI10.2140/ANT.2024.18.1817MaRDI QIDQ6621740

Publication date: 21 October 2024

Published in: Algebra \& Number Theory (Search for Journal in Brave)

hypergeometric functions Poincaré series automorphic forms automorphic $L$-functions Rankin-Selberg $L$-functions Maass forms Whittaker functions moments of $L$-functions period integrals

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Cites Work

Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Weighted Sato-Tate vertical distribution of the Satake parameter of Maass forms on $\mathrm{PGL}(N)$
A twisted Motohashi formula and Weyl-subconvexity for $L$-functions of weight two cusp forms
The fourth moment of Dirichlet $L$-functions
Bounds for $\mathrm{GL}(3) \times \mathrm{GL}(2)$ $L$-functions and $\mathrm{GL}(3)$ $L$-functions
Coxeter group actions on Saalschützian $_4F_3(1)$ series and very-well-poised $_7F_6(1)$ series
Automorphic forms on GL(3,${\mathbb{R}})$
Automorphic distributions, $L$-functions, and Voronoi summation for $\text{GL}(3)$
New formulas for Whittaker functions on $\text{GL}(n,\mathbb R)$
The central value of the Rankin-Selberg $L$-functions
Sur les coefficients de Fourier des formes modulaires de poids demi-entier
Automorphic forms on $GL(3)$. I, II
An explicit formula for the fourth power mean of the Riemann zeta- function
The cubic moment of central values of automorphic $L$-functions
On sums of Hecke series in short intervals
Archimedean $L$-factors on $\text{GL}(n)\times\text{GL}(n)$ and generalized Barnes integrals
The subconvexity problem for $\mathrm{GL}_2$
Uniform subconvexity and symmetry breaking reciprocity
Higher weight on $\mathrm{GL}(3)$. I: The Eisenstein series
On the moments of Hecke series at central points
Subconvexity for Rankin-Selberg $L$-functions of Maass forms.
Period integrals and Rankin-Selberg $L$-functions on $\mathrm{GL}(n)$
The fourth moment of individual Dirichlet $L$-functions on the critical line
The second moment of $\mathrm{GL} (4) \times \mathrm{GL} (2)$ $L$-functions at special points
A spectral reciprocity formula and non-vanishing for $L$-functions on $\mathrm{GL}(4)\times\mathrm{GL}(2)$
The cubic moment of automorphic $L$-functions in the weight aspect
On sums of $\mathrm{SL}(3,\mathbb{Z})$ Kloosterman sums
Generalized hypergeometric series.
Weyl-type hybrid subconvexity bounds for twisted $L$-functions and Heegner points on shrinking sets
Twisted moments of $L$-functions and spectral reciprocity
On the existence and temperedness of cusp forms for $\text{SL}_3(\mathbb{Z})$
Mellin transforms of $\text{GL}(n,\mathbb R)$ Whittaker functions
The spectral Kuznetsov formula on $\mathrm{SL}(3)$
On the determination of the Plancherel measure for Lebedev–Whittaker transforms on \mathop GL(n)
Automorphic Forms and L-Functions for the GroupGL(n, R)
Subconvexity for twisted <i>L</i>-functions on GL(3)
On the subconvexity problem for L-functions on GL(3)
Voronoi formulas on GL(n)
Barnes' Second Lemma and its Application to Rankin-Selberg Convolutions
Hypergeometric Series and Euler Factors at Infinity for L-Functions on GL(3, R )×GL(3, R )
On the Voronoĭ formula for GL(<i>n</i>)
An orthogonality relation for (with an appendix by Bingrong Huang)
Periods and Reciprocity I
On Motohashi’s formula
Motohashi’s fourth moment identity for non-archimedean test functions and applications
Mixed moment of GL(2) and GL(3)L‐functions
Kuznetsov, Petersson and Weyl on GL(3), I: The principal series forms
Integral moments of L-functions
On the GL(3) Kuznetsov Formula with applications to Symmetry Types of families of $L$-functions
Motohashi’s formula for the fourth moment of individual DirichletL-functions and applications
Spectral reciprocity via integral representations

This page was built for publication: Spectral moment formulae for $\mathrm{GL}(3)\times\mathrm{GL}(2)$ $L$-functions. I: The cuspidal case

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6621740)

Spectral moment formulae for \(\mathrm{GL}(3)\times\mathrm{GL}(2)\) \(L\)-functions. I: The cuspidal case